X(98) Tarry point

Tarry point

The construction of the Tarry point P, triangle center X(98) starts from the first Brocard triangle DEF of the triangle ABC.
This triangle is constructed as follows:

Draw the lines from all verteces to the two Brocard points of ABC (Br1 and Br2).

The Brocard triangle DEF is formed by intersections of combinations of two of these lines.
(every time a pink and a violet one)

Now out of the verteces A, B, and C draw perpendicular lines to the extended sides of the Brocard triangle.
These (red) perpendicular lines intersect in P, the Brocard point.
The barycentric coordinates of this point depend on the lenghts of the sides of the triangle.